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Finding the Fourth Proportional to 120.06, 165.59 and 75.75

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Solution

The fourth proportional to 120.06, 165.59 and 75.75 is: 104.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.06 : 165.59 = 75.75 : x
  2. Step 2: Convert to fraction form
    120.06/165.59 = 75.75/x
  3. Step 3: Cross multiply
    120.06x = 165.59 × 75.75
  4. Step 4: Simplify right side
    120.06x = 12,543.44
  5. Step 5: Solve for x
    x = 12,543.44/120.06
  6. Step 6: Final answer
    x = 104.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.